123123424321321 has 16 divisors (see below), whose sum is σ = 125733867744528. Its totient is φ = 120538129536000.

The previous prime is 123123424321283. The next prime is 123123424321409.

123123424321321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 57210767888400 + 65912656432921 = 7563780^2 + 8118661^2 .

It is a cyclic number.

It is not a de Polignac number, because 123123424321321 - 2³³ = 123114834386729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123123424391321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98398191 + ... + 99641611.

It is an arithmetic number, because the mean of its divisors is an integer number (7858366734033).

Almost surely, 2^{123123424321321} is an apocalyptic number.

It is an amenable number.

123123424321321 is a deficient number, since it is larger than the sum of its proper divisors (2610443423207).

123123424321321 is a wasteful number, since it uses less digits than its factorization.

123123424321321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253532.

The product of its digits is 41472, while the sum is 34.

The spelling of 123123424321321 in words is "one hundred twenty-three trillion, one hundred twenty-three billion, four hundred twenty-four million, three hundred twenty-one thousand, three hundred twenty-one".